1001 Algebra Problems.PDF

• RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS–

639.Solve using the quadratic formula:

^16 x^2 – ^53 x+1 = 0

a.–5 19 

b. 5  19 

c. 5 i 19 

d.–5i 19 

640.Solve using the quadratic formula:

(x– 3)(2x+ 1) = x(x– 4)

a.

b.

c.

d.

Set 41 (Answers begin on page 222)

Solving quadratic equations using radical and graphical
methods is the focus of this problem set.

641.Solve using radical methods: 4x^2 = 3

a.  ^32 

b.  ^23 

c.i ^32 

d.i ^23 

642.Solve using radical methods: –3x^2 = –9
a.  3 i
b. 3
c. 3 
d.i 3 

643.Solve using radical methods: (4x+ 5)^2 = –49

a.

b.

c.

d.

644.Solve using radical methods: (3x– 8)^2 = 45

a.

b.

c.

d.

645.Solve using radical methods: (–2x+ 1)^2 – 50 =0

a.

b.

c.

d.

646.Solve using radical methods: –(1 – 4x)^2 – 121 = 0

a.

b.

c.

d.

647.Find the real solutions of the following equa-

tion, if they exist, using graphical methods:

5 x^2 – 24 = 0

a. ≈2.191

b. 4.8

c. ≈ 2.191

d.The solutions are imaginary.

648.Find the real solutions of the following equa-

tion, if they exist: 2x^2 = –5x– 4

a.0.5, 1.5

b.–1.5, 0

c.–0.5, 0.5

d.The solutions are imaginary.

–1i^11 

4

^1 i^11 

4

^1 ^11 i

4

–1^11 i

4

–1^5 i^2 

2

^1 ^5 ^2 

2

^1 ^5 i^2 

2

–1^5 ^2 

2

–8^3 i^5 

3

^8 ^3 ^5 

3

–8^3 ^5 

3

–8^3 i^5 

3

^7 ^5 i

4

–7^5 i

4

–5^7 i

4

^5 ^7 i

4

–1i^13 

2

^1 i^13 

2

^1 ^13 

2

–1^13 

2